{
  "id": "1709.09396",
  "version": "v1",
  "published": "2017-09-27T09:08:54.000Z",
  "updated": "2017-09-27T09:08:54.000Z",
  "title": "Backward Shift Invariant Subspaces in Reproducing Kernel Hilbert Spaces",
  "authors": [
    "Emmanuel Fricain",
    "Javad Mashreghi",
    "Rishika Rupam"
  ],
  "comment": "21 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this note, we describe the backward shift invariant subspaces for a large class of reproducing kernel Hilbert spaces. This class includes in particular de Branges-Rovnyak spaces (the non-extreme case) and the range space of co-analytic Toeplitz operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-27T09:08:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30J05",
      "30H10",
      "46E22"
    ],
    "keywords": [
      "backward shift invariant subspaces",
      "reproducing kernel hilbert spaces",
      "co-analytic toeplitz operators",
      "range space",
      "large class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}